Yep! "An apple" is any apple in the world, and "the apple" is a specific apple-- either there is only one apple, or it is the one being talked about.
Usually you have to introduce with a/an before using the:
"A ball bounced down. Then the ball bounced away."
But if it's very obvious, you don't always have to:
"I was having Doritos, and I ate everything in the bag." ("The bag" is clearly a Dorito bag and needn't be declared.)
If you forget to declare, people will be confused:
"The dog peed on my fence again." ("What dog? Were we talking about a dog?")
But if you declare it more than once, it sounds like there are more than one object:
"A van ran a red light, and then a van followed me home." ("There must be a lot of strange vans today.")
Protip: you can use "it" in cases where you refer to the subject multiple times without adding more in between, skipping the "the" part altogether:
"A purple, flying elephant did a dance, and then the purple, flying elephant flew away." vs.
"A purple, flying elephant did a dance, and then it flew away."
Both are correct, but one is significantly shorter!
But be careful:
"A robot punched a tree, and then it fell over." ("Which thing fell over? The robot or the tree?")
So use "the" when there's more than one thing.
Have fun!